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3 years ago

(URGENT) Can someone help me find x, I’ve gotten it wrong twice.

Mathematics

1 answer:

ikadub [295]3 years ago

4 0

Answer:

x = 24.10

Step-by-step explanation:

The given sides of the triangle are the hypotenuse (x) and a side of length 20 that is adjacent to the 34° angle and opposite the 56° angle.

The mnemonic SOH CAH TOA reminds you of relationships between the hypotenuse and adjacent or opposite sides:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

If we want to use the "adjacent" side, we would choose ...

cos(34°) = 20/x

x = 20/cos(34°) ≈ 20/0.83 ≈ 24.10 . . . . . rounding according to instructions

If we want to use the "opposite" side, we would choose ...

sin(56°) = 20/x

x = 20/sin(56°) ≈ 20/0.83 ≈ 24.10 . . . . . rounding according to instructions

_____

Comment on rounding

If you round correctly (only at the last step), the proper answer is 24.12.

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IgorC [24]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

As per given , we have

$H_0:\mu \leq4\\\\ H_a: \mu >4$

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given $\sigma=1$ , so we perform one-tailed z-test.

Test statistic : $z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation

n= sample size

$\overline{x}$ = Sample mean

For n= 18 , $\overline{x}=4.50$ , $\sigma=1$ , $\mu =4$ , we have

$z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12$

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

3 0

3 years ago

Someone please help! find x round to the nearest tenth! trigonometry!

TEA [102]

Answer:

Step-by-step explanation:

Look at the picture.

Use sine:

$sine=\dfrac{opposite}{hypotenuse}$

We have a measure of the angle and length of the opposite:

$\alpha=28^o,\ opposite=350\ ft$

$\sin28^o\approx0.4695$

Substitute:

$\dfrac{350}{x}=0.4695$

$\dfrac{350}{x}=\dfrac{4695}{10000}$ cross multiply

$4695x=3500000$ divide both sides by 4695

$x=\dfrac{3500000}{4695}\to x\approx745.5$

5 0

3 years ago

If m<3 = 54° find each measure.

oee [108]

Answer:

m<15

Step-by-step explanation:

m<15 promise ko heheh

8 0

3 years ago

Subtract. 5/9-(3 1/3) Enter your answer, as a mixed number in simplest form, in the box.

Vaselesa [24]

Answer:

$-2\frac{7}{9}$

Step-by-step explanation:

$\frac{5}{9} - 3\frac{1}{3} = \frac{5}{9} - \frac{10}{3} = \frac{5}{9} - \frac{30}{9} = -\frac{25}{9} = -2\frac{7}{9}$

I am joyous to assist you anytime.

3 0

3 years ago

BRAINLIEST PLEASE HELP!!!!

taurus [48]

Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

5 0

3 years ago